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How do you solve for x 3 ln x - ln 3x equals 0?

3 ln(x) = ln(3x)ln(x3) = ln(3x)x3 = 3xx2 = 3x = sqrt(3)x = 1.732 (rounded)


How do you Differentiate and Integrate y equals 3 to the power of x?

dy/dx = 3^x * ln(3)integral = (3^x) / ln(3)To obtain the above integral...Let y = 3^xln y = x ln 3y = e^(x ln 3)(i.e. 3^x is the same as e^(x ln 3) ).The integral will then be 3^x / ln 3 (from linear composite rule and substitution after integration).


What is e to the power of 3 ln x?

e^(3lnx)=e^[ln(x^3)]=x^3


What is X when raised to the 3-5i power and the answer is 23-14i?

X = 1.31356+0.612045*iSteps to solve, take the natural log of both sides:ln(X^(3-5i)) = ln(23-14i).(3-5i)*ln(X) = ln(23-14i). Convert 23-14i to exponential form: A*e^(iΘ) {A = 26.926 and Θ = -0.54679 radians}(3-5i)*ln(X) = ln(A*e^(iΘ))= ln(A) + iΘ = ln(26.926) - 0.54679i.divide by (3-5i): ln(X) = (ln(A) + iΘ) / (3-5i) = (3.2931 - 0.54679i)/(3-5i)So we have ln(X) = 0.370978 + 0.436033i, then:e^(ln(X)) = e^(0.370978 + 0.436033i) --> X = 1.31356+0.612045*i


What is the answer to 2 minus Ln times 3 minus x equal 0?

so, if 2 minus Ln times 3 minus x equals 0, then 2 minus Ln times 3 equals x, therefore 2 minus Ln equals x divided by three, so Ln + X/3 = 2 therefore, (Ln + [X/3]) = 1


How do you solve 3 ln x - ln 2 equals 4?

3lnx - ln2=4 lnx^3 - ln2=4 ln(x^3/2)=4 (x^3)/2=e^4 x^3=2e^4 x=[2e^4]^(1/3)


How do you solve this logarithmic equation -3 plus ln x equals 5?

-3 + ln x = 5 Add '3' to boths sides Hence ln x = 8 'ln' is logarithms to the natural base , which is 2.718281.... = 'e' Hence log(e) x = 8 x = e^(8) x = 2.71828...^8) = 2980.95798... NB One the calculator you will find two buttons, viz. 'log' & 'ln'. Log is logarithsm to base '10' Ln is logarithms to base 'e' = 2.71828.... ( The exponential .


-3 plus ln x equals 5?

-3 + ln(x) = 5Add 3 to each side:ln(x) = 8x = e(8) = 2,980.958 (rounded)


What is the derivative of y equals xlnx?

Use the product rule.y = x lnxy' = x (ln x)' + x' (ln x) = x (1/x) + 1 ln x = 1 + ln xUse the product rule.y = x lnxy' = x (ln x)' + x' (ln x) = x (1/x) + 1 ln x = 1 + ln xUse the product rule.y = x lnxy' = x (ln x)' + x' (ln x) = x (1/x) + 1 ln x = 1 + ln xUse the product rule.y = x lnxy' = x (ln x)' + x' (ln x) = x (1/x) + 1 ln x = 1 + ln x


Please solve this x plus ln x-3 -4 0 Thank you?

If you mean: x-3-4 = 0 then x = 7 I mean x + ln (x-3) - 4 =0


Solve or x 2 ln 9 plus 2 ln 5 equals 2 ln x minus 3?

2 ln(9) + 2 ln(5) = 2 ln(x) - 3ln(81) + ln(25) = ln(x2) - 37.61332 = ln(x2) - 3ln(x2) = 10.61332ln(x) = 5.30666x = e5.30666 = 201.676 (rounded)


What is the value of x given the equation 5 to the power of 1- 2 x equals 0.25 correct to 3 decimal places Please show working out?

51-2x = 0.25 51 * 5-2x = 0.25 5-2x = 0.05 -2x*ln(5) = ln(0.05) x = ln(0.05)/[-2*ln(5)] = 0.931